Class 7 Maths - GUJARAT
Constructions and Tilings
The chapter 'Constructions and Tilings' in Class 7 Mathematics for Gujarat (GSEB) introduces students to the fascinating world of geometric drawing and spatial patterns. Students learn how to use essential geometrical instruments like a ruler, compass, protractor, and set-squares to accurately draw line segments, perpendiculars, parallel lines, and various types of triangles. Furthermore, the chapter explores the concept of tessellations or tilings, teaching how geometric shapes can fit together perfectly without any gaps or overlaps. This chapter is vital for board preparation as it builds foundational drawing skills, spatial visualization, and logical reasoning, which are heavily tested in geometry.
Start Learning FreeKey Concepts
Perpendicular Bisector
A line that divides a given line segment into two equal halves at a 90-degree angle, constructed using a compass and ruler.
Parallel Lines
Lines that lie in the same plane and never intersect, constructed by making equal alternate interior angles or corresponding angles.
SSS Triangle Construction
The method of drawing a unique triangle when the lengths of all three sides are given, using a scale and a compass.
SAS Triangle Construction
The technique of constructing a triangle when two sides and the angle included between them are known.
Tilings (Tessellations)
Covering a flat surface using one or more geometric shapes (tiles) with no gaps and no overlapping.
Important Formulas
Board Exam Info
In the Gujarat (GSEB) Class 7 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include step-by-step construction of parallel lines, perpendicular bisectors, and triangles given specific dimensions, as well as identifying or drawing simple tessellation patterns.
Frequently Asked Questions
Why do my compass markings shift while drawing constructions?
Make sure the pencil is tightly secured in the compass and the hinge screw is properly tightened so it does not slip while drawing arcs.
Can any shape be used for tiling a floor?
No, only shapes where the interior angles meeting at a point add up exactly to 360 degrees can tile a surface without gaps.
Is it necessary to write the steps of construction in the exam?
Yes, writing brief step-by-step instructions alongside your geometric drawing is often required to get full marks in GSEB exams.
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